Abstract
Fluid flow modeling using fuzzy boundary conditions is one of the viable areas in biofluid mechanics, drug suspension in pharmacology, as well as in the cytology and electrohydrodynamic analysis of cerebrospinal fluid data. In this article, a fuzzy solution for the two immiscible fluid flow problems is developed, which is motivated by biomechanical flow engineering. Two immiscible fluids, namely micropolar and Newtonian fluid, are considered with fuzzy boundary conditions in the horizontal channel. The flow is considered unsteady and carried out by applying a constant pressure gradient in the X-direction of the channel. The coupled partial differential equations are modeled for fuzzy profiles of velocity and micro-rotation vectors then the numerical results are obtained by the modified cubic B - spline differential quadrature method. The evolution of membership grades for velocity and microrotation profiles has been depicted with the fuzzy boundaries at the channel wall. It is observed that Micropolar fluid has a higher velocity change than Newtonian fluid, and both profiles indicate a declining nature toward the interface.
Highlights
Fluid flow problems with the fuzzy inference control system have a variety of applications in transpiration convection of rocket engines and gas turbines, heat relaxation conditions in buildings, modeling of cross-flow desalination processes, and physiological fluid flow transportation in the blood vessels
We considered the time-dependent flow of two immiscible micropolar blood and Newtonian fluids with fuzzy boundary conditions in the horizontal channel
Result and Analysis The unstable flow of two immiscible micro polar blood and Newtonian fluid with fuzzy boundary conditions is examined in the horizontal channel based on the time-dependent pressure gradient, and the fuzzy solution for velocity and micro rotation vector profiles has been achieved
Summary
Fluid flow problems with the fuzzy inference control system have a variety of applications in transpiration convection of rocket engines and gas turbines, heat relaxation conditions in buildings, modeling of cross-flow desalination processes, and physiological fluid flow transportation in the blood vessels. Rajeev (2008) worked at three spatial dimensional fuzzy fluid dynamics by constraining flow velocity. Chandrawat & Joshi: Numerical Solution of the Time-Depending Flow of Immiscible Fluids. There are several numerical techniques such as the Crank–Nicolson scheme, explored by Shuaib et al (2020), and the finite element method (FEM) by Ali et al (2019) for dealing with the unstable time-dependent flow. Given the importance of micropolar liquids, no effort was made to investigate the unstable consistency of fuzzy boundary conditions for two immiscible micropolar and Newtonian fluids. We considered the time-dependent flow of two immiscible micropolar blood and Newtonian fluids with fuzzy boundary conditions in the horizontal channel. The fuzzy solution is obtained numerically by solving coupled partial differential equations using the modified cubic B-spline differential quadrature method
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